Try this:
zMax = -inf;
xAtZMax = 0;
for x = 0:10
y = 3*x;
z = sqrt(y/2);
if z > zMax
% New max found.
zMax = z;
xAtZMax = x;
end
end
fprintf('The max z is %f that occurs at x = %d\n', zMax, xAtZMax);
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